-4(2x+3)=5(x-3)

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Solution for -4(2x+3)=5(x-3) equation:


Simplifying
-4(2x + 3) = 5(x + -3)

Reorder the terms:
-4(3 + 2x) = 5(x + -3)
(3 * -4 + 2x * -4) = 5(x + -3)
(-12 + -8x) = 5(x + -3)

Reorder the terms:
-12 + -8x = 5(-3 + x)
-12 + -8x = (-3 * 5 + x * 5)
-12 + -8x = (-15 + 5x)

Solving
-12 + -8x = -15 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-12 + -8x + -5x = -15 + 5x + -5x

Combine like terms: -8x + -5x = -13x
-12 + -13x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -13x = -15 + 0
-12 + -13x = -15

Add '12' to each side of the equation.
-12 + 12 + -13x = -15 + 12

Combine like terms: -12 + 12 = 0
0 + -13x = -15 + 12
-13x = -15 + 12

Combine like terms: -15 + 12 = -3
-13x = -3

Divide each side by '-13'.
x = 0.2307692308

Simplifying
x = 0.2307692308

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